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In the following exercises, solve each equation with fraction coefficients.

5y−13+4=−8y+46

Short Answer

Expert verified

Thesimpifiedvalueisy=−1811

Step by step solution

01

Step 1. Given informationt

The given equation is 5y−13+4=−8y+46

We have to solve the given equation

02

Step 2. Explanation

Solve:5y−13+4=−8y+46⇒6×(5y−13+4)=6×(−8y+46)(MultiplybytheLCD,6)⇒6×(5y−13)+6×4=6×(−8y+46)(Distribute)⇒2×(5y−1)+24=1×(−8y+4)(Simplify)⇒10y−2+24=−y+4⇒10y+22=−y+4⇒10y+y+22=−y+y+4(Addytobothsides)⇒11y+22=4(Simplify)⇒11y+22−22=4−22(Subtract22frombothsides)⇒11y=−18(Simplify)⇒11y11=−1811(Dividebothsidesby11)⇒y=−1811(Simplify)Thesimpifiedvalueisy=−1811

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